摘要
脉冲星辐射束的偏振位置角与相位的关系可用旋转矢量模型(RVM)描述,现有的Levenberg-Marquardt非线性拟合和格点搜寻算法对RVM的拟合存在效率低、易过拟合等问题。本文发展了一套基于贝叶斯推断的马尔可夫链蒙特卡洛算法(MCMC),并用该方法对已有文献中的10颗脉冲星偏振位置角进行了拟合。结果表明,MCMC算法不仅能得到与已有文献一致的结果,而且该算法具有高效、不易过拟合、能更好地估计参数的可信度区间等优点。
For pulsar emission beams, a widely used relationship between the polarization position angle （PPA） andthe pulse phase is given by the Rotation Vector Model （RVM）. Current methods of fitting the PPA with RVM are onthe basis of Levenberg-Marquardt nonlinear fitting or grid searching algorithms, however, they suffer frominefficiency and overfitting problems. A Markov Chain Monte Carlo （MCMC） algorithm on the basis of Bayesianinference is developed and applied to the fitting of PPA for 10 pulsars, which have been studied in literature with oldmethods. It is shown that the MCMC algorithm can not only obtain consistent results as those in literatures, but alsohave advantages in efficiency, the abilities of overcoming over-fitting and estimating the uncertainties of modelparameters.
作者
陈威威
王洪光
张颜荣
Chen Weiwei Wang Hongguang Zhang Yanrong(School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China)
出处
《湖南文理学院学报（自然科学版）》
CAS
2016年第4期27-34,共8页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
国家自然科学基金(NSFC 11178001
11573008)
关键词
脉冲星
辐射束
偏振位置角
旋转矢量模型
pulsar
emission beam
polarization position angle
Rotating Vector Model
